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202
THE INDIAN ANTIQUARY.
(JULY, 1889.
rule (B 2, above), exactly as much as - 5588 is larger than 489 The difference between there two fractions amounts to 3750 = =
numerator 3 = 0.58441 days, ► = 0.09740
3750 = 0·68181 days; and this is the very difference between the results of the two rules ;' for
end of Bháva by Jyo. t. rule 2228 230-2639; deduct » » » » Bși. S. rule 2228 229-5821; end of Bháva by Jyot. t. rule, later by 0.6818 days = 16 h. 21.8 m.
D.-The Cycle-year according to the so-called Tolinga rule. According to this rule, the Jupiter's year coincides with the luni-solar year; and the name of the current Jupiter's year may be found thus -To the expired year of the Kaliyuga add 13; to the expired Saka year, 12; and from the expired Vikrama year subtract 3; divide (the sum or the remainder) by 60; the remainder gives the number of the current Jupiter's year, counting from Prabhava (inclusive).10 Thusfor K. Y. 4490 expired, = S. 1311 expired, = V. 1446 expired, we have :
1311
1446 + 12
- 3 4503
1323 divided by 60 in every case the remainder is 3 = Sukla.
Simplification of a portion of the preceding Rules. The working of the Sürya-Siddhanta and Jyotistattva rules, as described above, is rendered somewhat tedious by the various multiplications which have to be gone through to find the ends of the several years. To facilitate this part of the process, I append Tables V. and VI., from which the ends of the years may be found simply by addition. In these Tables the figures for the epochs of the eras have been included in the figures for the days corresponding to the units of the years; and, as regards their use, it need only be observed that the figures for the days corresponding to the year 0 must necessarily be added up with the rest, whenever the unit of the figures for the year is 0. To show the working of these Tables, 11 we will ask :(a) On what day of the Julian period, according to the Surya-Siddhanta, did the solar
year Kaliyuga 4870, current, end (or the year 4871, current, begin) ? (6) When did Jupiter's year 4926 (Vilamba), without Bija, end ? () According to the Arya-Siddhanta, when did Saka 1311, expired, begin ?
4490
+
13
1443,
. So far as I can see, the only important difference in the results obtained by the Brihat-Samhita rule is that, in accordance with it, expunctions take place in the expired Bake years 230, 997, and 1338, instead of taking place, w is the one by the Jyotistattva rule, in the expired Bake years 231, 898, and 1839.
When I wrote the above, I had not seen the following passage in Alberuni's India, Sachau's Translation, Vol. II. p. 129:-"This is the method for the determination of the years of the shashtabda, us recorded in their books. However, I have seen Hindus who subtract 3 from the ora of Vikram Aditya, and divide the remainder by 60. The remainder they count off from the beginning of the great yuga. This method is not worth anything. By-the-bye : it is the same whether you reckon in the manner mentioned, or add 12 to the Bakakala."
1The results obtained from Table. Y.X. for the commencement of the Baka year, in accordance with the dryo Siddhanta, agree exactly with the beginnings of the years, as put down in Warren's First Chronological Table. pp. IX-XXVI. As regards the results obtained from Table V., A., for the commencement of the solar year in scoor
nge with the Sarva-Siddhanta, I may state that they will be found to be uniformly later by 28 minutes 86 seconds than the results obtained from Professor Keru Lakshman's and Mr. Sh. B. Dikshit's Tables, published ante. Vol. XVII., pp. 269-272. Professor Kert Lakshman's results being for Bombay time and my own for Ujjain time, the real difference is 15 minutes 36 seconds, by which my results are uniformly later, and by which, accordingly, Kora Lakshman has put the Mesha-sankranti at the commencement of the Kaliyugs earlier than I have done. Taking the difference between Ujjain time and Bombay time to be 13 minutes, Keru Lakshman's Mesha-samkant, expressed in days of the Julian period, would be 588 463•6016 days.
